What is the 2173rd prime number?
The 2173rd prime number is 19157. The next prime is 19163 (a gap of 6) and the one before is 19141.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 2173rd one is 19157.
- 2
19157 is prime because no prime up to ā19157 ā 138.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2173rd prime is close to 2173 Ć ln(2173) ā 16697, and here it is 19157.
- 4
19157 has no twin: neither 19155 nor 19159 is prime.
Primes around the 2173rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2170 | 19121 | 34 |
| 2171 | 19139 | 18 |
| 2172 | 19141 | 2 |
| 2173 | 19157 | 16 |
| 2174 | 19163 | 6 |
| 2175 | 19181 | 18 |
| 2176 | 19183 | 2 |
Questions
What is the 2173rd prime number?
19157.
Which prime number is 19157?
19157 is the 2173rd prime number.
What is the sum of the first 2173 primes?
19,428,518.